A block $(W_1)$ with dimensions as shown, $a=26$ in$.,$ and $b=55in.,$ sits on a sloped surface, with $=32,$ and is connected to a second block $(W_2)$ with a belt passing over four cylinders. What is the weight of the second block, $W_2,$ necessary to cause the first block to move $($check all movement cases$)$ if $W_1=247lb$ and all surfaces have a coefficient of friction, ${}_s=0\mathrm{.}41?$